(Phasors)
(Phasors)
 
Line 21: Line 21:
 
To get from one form and back again observe:
 
To get from one form and back again observe:
  
     M = sqrt{A^2 + B^2}
+
     M = sqrt(A^2 + B^2)
  
 
     φ = arctan(B/A)
 
     φ = arctan(B/A)

Latest revision as of 08:26, 5 September 2008

Uses of Your Imagination

-Wait a minute--they give phasers to math guys? Is that safe? And where can I get one?

Definition (from Wiki)

In engineering, the complex numbers are an extension of the real numbers obtained by adjoining an imaginary unit, denoted j, which satisfies:

   j^2=-1

Phasors

There are 3 forms:

  1. M*exp(j*φ)    <--Exponential Form
  2. A+j*B         <--Phasor Form
  3. M∠φ°          <--Polar Form

To get from one form and back again observe:

   M = sqrt(A^2 + B^2)
   φ = arctan(B/A)
   A = Mcosφ
   B = Msinφ

Where A lies on the real axis and B upon the imaginary

Alumni Liaison

Prof. Math. Ohio State and Associate Dean
Outstanding Alumnus Purdue Math 2008

Jeff McNeal